import Image import pytesseract

Load the image for OCR processing

image_path = '/mnt/data/1733201601670ysdhatn5.jpg' text =The OCR output was partial and did not fully extract the details of the table or the instructions from the image. To proceed accurately, I will reconstruct the required PERT chart using the information you provided about the activities, their durations, and dependencies.

Activities and Dependencies:

1. A (Duration = 2 weeks): No preceding activity.
2. B (Duration = 3 weeks): Preceded by A.
3. C (Duration = 2 weeks): Preceded by A.
4. D (Duration = 3 weeks): Preceded by B, C.
5. E (Duration = 2 weeks): Preceded by D.
6. F (Duration = 1 week): Preceded by E, B.
7. G (Duration = 3 weeks): Preceded by F.

I will now draw the PERT network. as plt import networkx as nx

Define the activities, their dependencies, and durations

activities = { 'A': {'predecessors': [], 'duration': 2}, 'B': {'predecessors': ['A'], 'duration': 3}, 'C': {'predecessors': ['A'], 'duration': 2}, 'D': {'predecessors': ['B', 'C'], 'duration': 3}, 'E': {'predecessors': ['D'], 'duration': 2}, 'F': {'predecessors': ['E', 'B'], 'duration': 1}, 'G': {'predecessors': ['F'], 'duration': 3}, }

Create a directed graph for the PERT network

G = nx.DiGraph()

Add nodes and edges based on the activities and dependencies

for activity, details in activities.items(): G.add_node(activity, duration=details['duration']) for predecessor in details['predecessors']: G.add_edge(predecessor, activity)

Draw the graph

plt.figure(figsize=(10, 6)) pos = nx.planar_layout(G) # Planar layout for better visualization nx.draw(G, pos, with_labels=True, node_size=3000, node_color='lightblue', font_size=10, font_weight='bold') nx.draw_networkx_edge_labels(G, pos, edge_labels={(u, v): f"{activities[v]['duration']}w" for u, v in G.edges()}, font_size=8) plt.title("PERT NetworkThe PERT network diagram is now drawn, showing the activities, their durations (in weeks), and dependencies. Let me know if you'd like me to calculate the earliest start times (ES), latest start times (LS), or identify the critical path.

Suggested Follow-Up:

1. Would you like me to calculate the earliest and latest start/finish times for the activities?
2. Should I explain the logic behind finding the critical path?
3. Would you like a tabular representation of all activity times (ES, EF, LS, LF)?
4. Should I explain how to calculate slack for each activity?
5. Do you need an overview of PERT and its importance in project management?

Tip: The critical path is the longest path through the network, which determines the project's minimum completion time. Understanding it ensures resource prioritization.